Express each of the following as a decimal: 7/10, 5 tenths, 3/8, 19/100, 9 hundredths, 53/100.
Understand the Problem
The question is asking for the conversion of fractions and terms representing fractions (like tenths and hundredths) into decimal form. Each item must be expressed as a decimal.
Answer
1. $0.7$ 2. $0.5$ 3. $0.3$ 4. $0.19$ 5. $0.09$ 6. $0.53$
Answer for screen readers
- $0.7$
- $0.5$
- $0.3$
- $0.19$
- $0.09$
- $0.53$
Steps to Solve
- Convert Fraction to Decimal for 1
To convert the fraction $\frac{7}{10}$ to decimal form, divide the numerator 7 by the denominator 10.
$$ \frac{7}{10} = 7 \div 10 = 0.7 $$
- Convert Tenths to Decimal for 2
To express 5 tenths as a decimal, recognize that "tenths" means dividing by 10. Thus, 5 tenths is:
$$ 5 \text{ tenths} = \frac{5}{10} = 0.5 $$
- Convert Fraction to Decimal for 3
For the fraction $\frac{3}{10}$, divide the numerator by the denominator:
$$ \frac{3}{10} = 3 \div 10 = 0.3 $$
- Convert Fraction to Decimal for 4
For the fraction $\frac{19}{100}$, divide the numerator by the denominator:
$$ \frac{19}{100} = 19 \div 100 = 0.19 $$
- Convert Hundredths to Decimal for 5
To express 9 hundredths as a decimal, divide 9 by 100:
$$ 9 \text{ hundredths} = \frac{9}{100} = 0.09 $$
- Convert Fraction to Decimal for 6
For the fraction $\frac{53}{100}$, divide the numerator by the denominator:
$$ \frac{53}{100} = 53 \div 100 = 0.53 $$
- $0.7$
- $0.5$
- $0.3$
- $0.19$
- $0.09$
- $0.53$
More Information
Converting fractions to decimals involves dividing the numerator by the denominator. Tenths are represented as fractions over 10, and hundredths as fractions over 100.
Tips
- Confusing tenths with hundredths when interpreting the problem. Ensure to divide by the correct denominator.
- Misplacing the decimal point. It's essential to double-check the positioning of the decimal in the final answer.
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